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112416486 = 23721367439
BaseRepresentation
bin1101011001101…
…01011011100110
321211112100102120
412230311123212
5212234311421
615053250410
72533344600
oct654653346
9254470376
10112416486
1158502196
1231793a06
131a3a0240
1410d04170
159d088c6
hex6b356e6

112416486 has 96 divisors (see below), whose sum is σ = 286513920. Its totient is φ = 29139264.

The previous prime is 112416467. The next prime is 112416487. The reversal of 112416486 is 684614211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112416487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 255855 + ... + 256293.

It is an arithmetic number, because the mean of its divisors is an integer number (2984520).

Almost surely, 2112416486 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112416486, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143256960).

112416486 is an abundant number, since it is smaller than the sum of its proper divisors (174097434).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

112416486 is a wasteful number, since it uses less digits than its factorization.

112416486 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 531 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 112416486 is about 10602.6640991781. The cubic root of 112416486 is about 482.6252080940.

It can be divided in two parts, 1124164 and 86, that added together give a triangular number (1124250 = T1499).

The spelling of 112416486 in words is "one hundred twelve million, four hundred sixteen thousand, four hundred eighty-six".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 49 67 78 91 98 134 147 182 201 273 294 402 439 469 546 637 871 878 938 1274 1317 1407 1742 1911 2613 2634 2814 3073 3283 3822 5226 5707 6097 6146 6566 9219 9849 11414 12194 17121 18291 18438 19698 21511 29413 34242 36582 39949 42679 43022 58826 64533 79898 85358 88239 119847 128037 129066 176478 205891 239694 256074 279643 382369 411782 559286 617673 764738 838929 1147107 1235346 1441237 1677858 2294214 2676583 2882474 4323711 5353166 8029749 8647422 16059498 18736081 37472162 56208243 112416486